Pith Number

pith:PSX3TRSP

pith:2026:PSX3TRSPTUXTPVNZSCLNDA762X

not attested not anchored not stored refs pending

Functions in $L_1(\mu,Y)$ with optimal tensor representations

Juan Guerrero-Viu, Luis C. Garc\'ia-Lirola

arxiv:2607.02263 v1 · 2026-07-02 · math.FA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PSX3TRSPTUXTPVNZSCLNDA762X}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-07-03T01:17:46.922687Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7cafb9c64f9d2f37d5b99096d183fed5c6ef439ef944739840a775ce582e7caa

Aliases

arxiv: 2607.02263 · arxiv_version: 2607.02263v1 · doi: 10.48550/arxiv.2607.02263 · pith_short_12: PSX3TRSPTUXT · pith_short_16: PSX3TRSPTUXTPVNZ · pith_short_8: PSX3TRSP

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/PSX3TRSPTUXTPVNZSCLNDA762X \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 7cafb9c64f9d2f37d5b99096d183fed5c6ef439ef944739840a775ce582e7caa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6c6604517b0465bfbfcec7250160c472848d52d46a62ea4b2262cefb7b9e845e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2026-07-02T14:50:42Z",
    "title_canon_sha256": "3923d0f5e1f1456ec6ab25be6efa6a79fcd2f9360d113a623281e91d5bdca0d0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.02263",
    "kind": "arxiv",
    "version": 1
  }
}